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Finding the Third Proportional to 253,054 and 378,879

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Solution

The third proportional to 253,054 and 378,879 is: 567,267.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,054 : 378,879 = 378,879 : x
  2. Step 2: Convert to fraction form
    253,054/378,879 = 378,879/x
  3. Step 3: Cross multiply
    253,054x = 378,879 × 378,879
  4. Step 4: Simplify right side
    253,054x = 143,549,296,641
  5. Step 5: Solve for x
    x = 143,549,296,641/253,054
  6. Step 6: Final answer
    x = 567,267.45

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.